Fold and Cut Theorem

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mhlingo
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Fold and Cut Theorem

Post by mhlingo »

Hello! I have been trying to create a non symmetrical trapezoid and a non-convex pentagon using the fold and cut theorem but have been struggling. I was wondering if anyone knew how to do this since the shapes I need to make are not symmetrical. Thank you!

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Baltorigamist
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Re: Fold and Cut Theorem

Post by Baltorigamist »

(Since this appears to be a homework problem, I won’t give the full solutions.)

For the trapezoid, extend the bases until they intersect and fold the angle bisector.
The pentagon is a little more complicated. I would start with folding bisectors at the tips.

Good luck!
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Tankoda
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Re: Fold and Cut Theorem

Post by Tankoda »

Check out this article https://erikdemaine.org/foldcut/.

You'll want to construct the straight skeletons for those polygons.

I don't think this is giving too much away
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